Semiconductor Organic Substrate Dielectric Constant Calculator

Invert actual organic substrate plate capacitance after independent fixture subtraction, signed calibration mismatch retained; not forward plate capacitance or universal dielectric constant.

Description

A substrate capacitance measurement includes fixture contributions that should be independently assessed.

A substrate capacitance measurement includes fixture contributions that should be independently assessed.^[1]

Removing that contribution before inverting the plate model exposes signed calibration discrepancies rather than hiding them.

When to use Semiconductor Organic Substrate Dielectric Constant Calculator

Use this tool when you need to calculate the stated measurement summary or conditional model from matched observations. Prepare independently matched device or specimen measurements, units, branch selection, and model or calibration conventions.

How to use Semiconductor Organic Substrate Dielectric Constant Calculator and understand its results

Prepare independently matched device or specimen measurements, units, branch selection, and model or calibration conventions.
Enter observedOrganicSubstrateMeasuredCapacitanceFarads, observedIndependentFixtureCapacitanceFarads, observedSubstrateThicknessM, observedElectrodeAreasM2, callerVacuumPermittivityFM, following the field table and calculation rules below, then run the tool.
Read inferredOrganicRelativePermittivities. Use the output table and calculation rules below to interpret units, signs, crossings, and flags.
Correct any input issues and run again. Before using a successful result, review its units, signs, evidence coverage, and stated model or reference assumptions.

Input field	Meaning	Value type	Requirement
observedOrganicSubstrateMeasuredCapacitanceFarads	Observed organic substrate measured capacitance farads	list of number	Required
observedIndependentFixtureCapacitanceFarads	Observed independent fixture capacitance farads	list of number	Required
observedSubstrateThicknessM	Observed substrate thickness m	list of number	Required
observedElectrodeAreasM2	Observed electrode areas m2	list of number	Required
callerVacuumPermittivityFM	Caller vacuum permittivity f m	number	Required

Use four nonempty aligned measurement lists. Measured capacitance, thickness, area, and vacuum permittivity must be positive; fixture capacitance may be zero. Subtract fixture capacitance and infer relative permittivity; zero or negative inferred values are retained.

εrelative_i=(Cmeasured_i−Cfixture_i)×thickness_i/(area_i×ε0)

Read these symbols with the field meanings and branch or reference rules above.

Output field	Meaning	Value type
inferredOrganicRelativePermittivities	Inferred organic relative permittivities	list of number

json

{
  "input": {
    "observedOrganicSubstrateMeasuredCapacitanceFarads": [
      2,
      3
    ],
    "observedIndependentFixtureCapacitanceFarads": [
      0.5,
      1
    ],
    "observedSubstrateThicknessM": [
      1,
      2
    ],
    "observedElectrodeAreasM2": [
      1,
      2
    ],
    "callerVacuumPermittivityFM": 1
  },
  "output": {
    "inferredOrganicRelativePermittivities": [
      1.5,
      2
    ]
  }
}

Limitations and assumptions

Measurements, branch identification, units, and model applicability must be independently established. Results do not supply universal material constants, a complete physical model, or operating-condition approval.

Missing required fields, unknown fields, wrong types, and violated calculation rules return input issues. Numeric values must be finite; nonfinite numeric outputs are rejected. Arrays must be dense, with no missing cells. Numeric lists allow at most 10000 entries, subject to smaller tool-specific bounds above.

Alternative or Complementary methods

For a related task, use Semiconductor Photodiode Capacitance Calculator: A photodiode capacitance budget includes the depletion region and parallel stray capacitance. Combining measured geometry with matched permittivity produces a conditional electrical model for each detector. For a complementary step, use Semiconductor Glass Interposer Loss Tangent Calculator: Dielectric loss tangent is a ratio between loss and real permittivity under a stated complex-sign convention. Matched glass-interposer measurements supply that ratio for each sampled condition.

References

Semiconductor Organic Substrate Dielectric Constant Calculator — tool.io

Similar or alternative tools

Semiconductor Photodiode Capacitance Calculator
A photodiode capacitance budget includes the depletion region and parallel stray capacitance. Combining measured geometry with matched permittivity produces a conditional electrical model for each detector.
Semiconductor Glass Interposer Loss Tangent Calculator
Dielectric loss tangent is a ratio between loss and real permittivity under a stated complex-sign convention. Matched glass-interposer measurements supply that ratio for each sampled condition.